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Finding the Fourth Proportional to 712.54, 981.84 and 525.74

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Solution

The fourth proportional to 712.54, 981.84 and 525.74 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.54 : 981.84 = 525.74 : x
  2. Step 2: Convert to fraction form
    712.54/981.84 = 525.74/x
  3. Step 3: Cross multiply
    712.54x = 981.84 × 525.74
  4. Step 4: Simplify right side
    712.54x = 516,187.65
  5. Step 5: Solve for x
    x = 516,187.65/712.54
  6. Step 6: Final answer
    x = 724.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.